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Finding the Fourth Proportional to 215.30, 323.05 and 161.30

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Solution

The fourth proportional to 215.30, 323.05 and 161.30 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.30 : 323.05 = 161.30 : x
  2. Step 2: Convert to fraction form
    215.30/323.05 = 161.30/x
  3. Step 3: Cross multiply
    215.30x = 323.05 × 161.30
  4. Step 4: Simplify right side
    215.30x = 52,107.97
  5. Step 5: Solve for x
    x = 52,107.97/215.30
  6. Step 6: Final answer
    x = 242.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.